実験計測誤差を最小化する変分原理に基づくモアレ干渉法・有限要素ハイブリッド法 : 弾塑性変形場の場合

抄録

In a previous study, for the case of elastic deformation field, the authors have developed a hybrid experimental-numerical method based on a variational principle minimizing experimental measurement errors. In this stydy, for the case of elastic-plastic deformation field, first, an incremental variational principle is derived to minimize the errors associated with a full-field displacement measurement such as moire interferometry. Next, on the basis of this variational principle, a new hybrid moire-interferometry and finite element method is developed for the case of elastic-plastic deformation field. The present hybrid method demonstrates automatic detection and elimination of the measurement errors and smooth visualization of stress and strain contours. Furthermore, the present hybrid method automatically achieves the path independence of the T^* integral, restoring the path-dependence caused by the measurement errors. This paper provides the foundation of an intelligent measurement and visualization of displacement and stress fields in actual structural components.